報(bào)告題目：Dynamical Behaviors of a Stochastic Food Chain System with Ornstein-Uhlenbeck Process

報(bào)告人：蔣達(dá)清

報(bào)告時(shí)間：2022年5月11日（周三）18:30—20:30

騰訊會(huì)議ID：847 918 250

報(bào)告摘要：Considering the important role that food chains play in ecosystems, in this paper, we study a three-species stochastic food chain model in which the growth rates and death rates are governed by Ornstein–Uhlenbeck process. The main purpose of this paper is to study the dynamic properties of the model. We first prove the existence and uniqueness of the global solution to the model. The moment boundedness and asymptotic behavior of the solution are also verifified. Secondly, we get the result of extinction of the predators. Then, a suffificient criteria for the existence of the stationary distribution to the system are established by constructing a suitable Lyapunov function. Under the same conditions, it is worth noting that we further obtain the explicit formulas for the mean and the covariance of the probability density function for a linearized system around a equilibrium point. Finally, several numerical simulations are carried out to illustrate the theoretical results.

報(bào)告人簡介：蔣達(dá)清,，中國石油大學(xué)理學(xué)院教授,，King Abdulaziz University兼職教授,，東北師范大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院博士生導(dǎo)師。主要從事隨機(jī)微分方程方向的研究,，研究由隨機(jī)微分方程描述的生物各物種數(shù)量的變化規(guī)律，預(yù)測種群和傳染病最終的變化趨勢（如滅絕性,、持久性,、不變分布、遍歷性，周期性等）,，從而達(dá)到更好的維持生態(tài)平衡和防控傳染病的目的,。已發(fā)表300多篇SCI論文，主持高等學(xué)校全國優(yōu)秀博士學(xué)位論文專項(xiàng)基金1項(xiàng),，主持4項(xiàng)國家自然科學(xué)基金面上項(xiàng)目,。獲2008年全國百篇優(yōu)秀博士論文、2010年獲第五屆“秦元?jiǎng)讛?shù)學(xué)獎(jiǎng)”,、湯森路透和科睿唯安2014-2020年全球高被引科學(xué)家,、愛思唯爾2014--2021年中國高被引學(xué)者, 獲2015年教育部自然科學(xué)獎(jiǎng)二等獎(jiǎng)。

邀請人：劉志軍

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